Persistent Currents in Superconducting Nanorings

2019 ◽  
pp. 855-898
Author(s):  
Andrei D. Zaikin ◽  
Dmitry S. Golubev
Keyword(s):  
Persistent Currents

scholarly journals Persistent Currents in Mesoscopic Connected Rings

2001 ◽  
Vol 86 (14) ◽  
pp. 3124-3127 ◽  
Author(s):  
W. Rabaud ◽  
L. Saminadayar ◽  
D. Mailly ◽  
K. Hasselbach ◽  
A. Benoît ◽  
...  
Keyword(s):  
Persistent Currents

scholarly journals SPECTRAL CORRELATIONS IN DISORDERED MESOSCOPIC METALS AND THEIR RELEVANCE FOR PERSISTENT CURRENTS

1996 ◽  
Vol 10 (28) ◽  
pp. 1397-1406 ◽  
Author(s):  
AXEL VÖLKER ◽  
PETER KOPIETZ
Keyword(s):  
Energy Levels ◽  
Three Dimensional ◽  
Average Density ◽  
Electron Interaction ◽  
Energy Window ◽  
Persistent Currents ◽  
Dependent Part ◽  
The Difference ◽  
Aharonov Bohm ◽  
Grand Canonical

We use the Lanczos method to calculate the variance σ2(E, ϕ) of the number of energy levels in an energy window of width E below the Fermi energy for noninteracting disordered electrons on a thin three-dimensional ring threaded by an Aharonov–Bohm flux ϕ. We confirm numerically that for small E the flux-dependent part of σ2(E, ϕ) is well described by the Altshuler–Shklovskii-diagram involving two Cooperons. However, in the absence of electron–electron interactions this result cannot be extrapolated to energies E where the energy-dependence of the average density of states becomes significant. We discuss consequences for persistent currents and argue that for the calculation of the difference between the canonical- and grand canonical current it is crucial to take the electron–electron interaction into account.

scholarly journals Stability of persistent currents in spinor Bose-Einstein condensates

2013 ◽  
Vol 88 (5) ◽  
Author(s):  
A. I. Yakimenko ◽  
K. O. Isaieva ◽  
S. I. Vilchinskii ◽  
M. Weyrauch
Keyword(s):  
Persistent Currents ◽  
Bose Einstein

Persistent currents in a one-dimensional disordered ring in the Luttinger model

1997 ◽  
Vol 55 (24) ◽  
pp. 16300-16305 ◽  
Author(s):  
Jia-Lin Zhu ◽  
Xi Chen ◽  
Yoshiyuki Kawazoe
Keyword(s):  
Persistent Currents ◽  
One Dimensional ◽  
Luttinger Model

scholarly journals Persistent currents through a quantum impurity: Protection through integrability

2007 ◽  
Vol 76 (7) ◽  
Author(s):  
Johan Nilsson ◽  
Hans-Peter Eckle ◽  
Henrik Johannesson
Keyword(s):  
Persistent Currents ◽  
Quantum Impurity

THE ANALOGUE OF THE AHARONOV–BOHM EFFECT FOR BOUND STATES FOR NEUTRAL PARTICLES

2011 ◽  
Vol 26 (18) ◽  
pp. 1331-1341 ◽  
Author(s):  
KNUT BAKKE ◽  
C. FURTADO
Keyword(s):  
Bound States ◽  
Neutral Particle ◽  
Energy Levels ◽  
Quantum Ring ◽  
Persistent Currents ◽  
One Dimensional ◽  
Neutral Particles ◽  
Quantum Flux ◽  
Bohm Effect ◽  
Aharonov Bohm

We study the analogue of the Aharonov–Bohm effect for bound states for a neutral particle with a permanent magnetic dipole moment interacting with an external field. We consider a neutral particle confined to moving between two coaxial cylinders and show the dependence of the energy levels on the Aharonov-Casher quantum flux. Moreover, we show that the same flux dependence of the bound states can be found when the neutral particle is confined to a one-dimensional quantum ring and a quantum dot, and we also calculate the persistent currents in each case.

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